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What are the figures cut off ! 4. The remainder.

Q. What are the other figures ?

A. The quotient.

Exercises for the Slate.

1. A prize, valued at 25526 dollars, is to be equally divided among 100 men; what will be each man's part?

OPERATION.

255|26

255 dollars.

428

2. Divide 1786582 by 10000. A.

6582

17810000.

3. Divide 87653428 by 10; by 100; by 1000; by 10000; by 100000; by 1000000. A. Remainder to each, fo,

653428

Boo, 188, BRA, PA, MA. Quotients, total,

9739257.

XX. WHEN THERE ARE CIPHERS AT THE RIGHT
ILAND OF THE DIVISOR.

1. Divide 4960

OPERATION.

dollars among 80 8 times 10 are 810) 49610

men.

62 dollars.

Q. In this example, we have a divisor, 80, which is a com posite number; (thus, 8 times 10 are 80;) how, then, may we proceed to divide by 10, one of the component parts?

A. By cutting off one place at the right hand of the dividend,

in ¶ XIX.

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Q. How do you obtain the 62?

A. By dividing the 496 by 8, as usual.

RULE. Q. As any number, which has a cipher or ciphers at the nght, can be produced by two other numbers, one of which may be either 10, 100, 1000, &c., how, then, would you proceed to divide when there are ciphers at the right of the divisor?

A. Cut them off, and the same number of figures from the right of the dividend.

Q. How do you divide the remaining figures of the dividend?
A. As usual.

Q. What is to be done with the figures of the dividend which are Cut off?

A. Bring them down to the right hand of the remainder.

Exercises for the Slate.

2. How many oxen, at 30 dollars a head, may be bought fos 38040 dollars? 9. 1268.

3. Divide 783567 by 2100.

4. Divide 2082784895876 by 1200000. 5. Divide 7942351265321 by 12500000. 6. Divide 18515952875 by 112000.

267

A. rem.

A. 28858 rem.

A. 125 rem 4. T12000 rem

675

Miscellaneous Questions on the foregoing.

Q. What is the subject which you have now been attending to called 1 A. Arithmetic.

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Q. From what you have seen of it, how would you define it ? A. It teaches the various methods of computing by nunrbers.

Q. What rules have you now been through?

A. Notation or Numeration, Addition, Subtrac tion, Multiplication, and Division.

Q. How many rules do these make ?

Q. What are these rules sometimes called?

A. The fundamental rules of arithmetic

Q. Why?

A. Because they are the foundation of all the other rules.

Q. To denote the operation of these different rules, we have certain characters; what is the name of these characters ?

A. Signs.

Q. What do two horizontal straight lines signify; thus, 100 cents= 1 dollar?

A. Equal to; as, 100 cents 1 dollar, read, 100 cents are equal to 1 dollar.

Q. What does a horizontal line crossing a perpendicular tell you to do; thus, 6+10=16?

A. To add; thus, 6+10=16, read, 6 and 10 are 16.

Q. What else does this sign denote ?

A. A remainder after dividing.

Q. What does one horizontal straight line tell you to do; thus,

t

A. To subtract; thus, 8-6 = 2, read, 6 from

8 leaves 2.

Q. Wha, do two lines, crossng cach other in the form of the Roman letter X, tell you to do; thus, 6 × 8 = 48 !

A. To multiply; thus, 6x3=48, read, 6 times

8 are 43.

晶 Q. What does a horizontal line, with a dot above and below it, tell you to do; thus, &÷2=4!

A. To divide; thus, 824, read, 2 in 3, 4 times.

Q. By consulting ¶ XVII, you will perceive that Division may be represented in a different manner; how is this dour !

A. By writing the divisor under the dividend, with a line between them; thus, = 2, read, 4 in 8, 2 times.

Q. What does signify, then? 20 signify ↑ 367 421 181 4441 351

Let me see you write down on the slate the signs of Addition, Subtraction, Multiplication, and Division.

Perform the following examples on the slate, as the signs indicate.

1.87834+284 +65 +32 + 100=8×315, Aus.

2. 876345723 – 267001345 = 60934437“, Aus.

3. 692784578 × 27839421 = 192667215224:5338), Ans

4. 202384150 ÷ 4025=50406, Aus.

5. 2600 — 600 =~ 2000 + 1823 == 3¬24, Ans,

6, 3600—-400=3200 × 4 = 12800, Aus

7, 269888892=20000, Ans

8. 188 + 36 = 18, Ans.

9. 108 +20 +44 +45 +22 = 29, Ans.

10. What is the whole number of inhabitants in the world, there being, according to Hassel, in each graud division as for aws-in

Europe, one hundred and eighty millions;
Asia, three hundred and eighty millions;
Africa, minety-nine millions;
America, twenty-one millions;
Australasia, &c. two milhons ? .

4 65200000

11. What was the number of inhabitarts in the following New England towns, in 1820, there being in

Portland,

Portsmouth,

Salem,

8,581;

7,327;

12,731;

Boston,
Providence,

New Haven,

43,298;

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A. 92,031.

12. What was the number of inhabitants in the following

towns, there being in

New York,

123,706;

Philadelphia, 108.116;

Baltimore,

62,738;

Washington, 13,247

Albany,

12,630;

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13. How many more inhabitants were there in New York than Philadelphia? Philadelphia than Baltimore? Baltimore than Boston? Boston than New Orleans? New Orleans than Charleston? Charleston than Albany? Albany than Providence? Providence than New Haven? A. Total, 115,379.

14. At 73 cents a bushel, what will 42 bushels of salt cost? What will 800 bushels? A. 61466 cents. 15. What will 2970 bushels? What 8900 bushels? A. 866510 cents.

16. James had 37 cents, William 10 times as many as James, Rufus 15 times as many as William, Thomas 26 times as many as Rufus, Harry 45 times as many as Thomas, and Stephen 24 times as many as Harry; how many did they all have? A. 162487757.

18. In

17. There are 60 minutes in one hour; how many hours are there in 120 minutes? In 4800 minutes? A. 82 hours. 172800 minutes? In 1036800 minutes? A. 20160 hours.

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1. At 10 mills a yard, how many cents will 4 yards of cloth

cost? Will 6 yards? Will 8?)

2. How many mills are 2 cents? 3 cents? 4 cents? 5 cents? 8 cents? 12 cents?

3. How many cents are 2 dimes? 5 dimes? 6 dimes? 7 dines? 11 dimes?

4. How many dimes are 2 dollars? 5 dollars? 7 dolJars? 10 dollars? 12 dollars?

5. How many eagles are 20 dollars? 30 dollars? 40 dollars? GO dollars? 80 dollars? 100 dollars? 120 dollars? Q. How many cents are 44 pence? Q. How many cents are 9 pence? •

Q. How many cents are 18 pence, or of a dollar?

Q. How many cents is

Q. How many cents is

of a dollar?

of a dollar?

Q. How many cents is one dollar?
Q. How many cents is a pistareen?
Q. How many cents is half a pistareen?
Q. How many 9 pences in a dollar?

.9. 6.

A. 124.

A. 25.

A. 50.

9. 75.

A. 100.

A. 20.

A. 10.

A. 8.

Q. How many 4 pence-halfpennies in a dollar? A. 16.

6. You buy 4 yards of cloth for $1, and give the shopkeeper two fifty-cent bits; how much change must he give you?

7. You buy some calico to the amount of 17 cents, and give the clerk a pistareen; how much change must le give you?

8. You give a pistareen for 1 fish; how many cents must you give for 2? For 3? For 5? For7? For 9? For 12? 9. What will 2 yards of ribbon come to in cents, at 4 pence a yard? At 9 pence? At of a dollar? Ata dollar? At of a dollar?

Q. What is the coin of the United States called ?

A Federal Moncy.

Q. When established?

A. A. D. 1736.

Q. By what authority.?

A. Congress.

Q. Which is the money unit?

A. Dollars

Q. What place do dollars occupy, then?

4. The place of units.

Q. How are dollars distinguished from dimes, cents, and mills?

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